987541632 has 320 divisors, whose sum is σ = 3667055040. Its totient is φ = 256296960.

The previous prime is 987541631. The next prime is 987541651. The reversal of 987541632 is 236145789.

987541632 is a `hidden beast` number, since 9 + 8 + 7 + 5 + 4 + 1 + 632 = 666.

Its product of digits (362880) is a multiple of the sum of its prime divisors (1260).

It is not an unprimeable number, because it can be changed into a prime (987541631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 797718 + ... + 798954.

It is an arithmetic number, because the mean of its divisors is an integer number (11459547).

Almost surely, 2^987541632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833527520).

987541632 is an abundant number, since it is smaller than the sum of its proper divisors (2679513408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987541632 is a wasteful number, since it uses less digits than its factorization.

987541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1260 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 987541632 is about 31425.1751307769. The cubic root of 987541632 is about 995.8298446442.

The spelling of 987541632 in words is "nine hundred eighty-seven million, five hundred forty-one thousand, six hundred thirty-two".